Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.

Answers

Answer 1

Answer:

0.84 = 84% probability that the calculator has a good case and good batteries.

Step-by-step explanation:

We have these following percentages:

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

Using Venn Diagrams:

Event A: Defective Case

Event B: Defecitve Battery

So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]

Probability of at least one problem:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]

Find the probability that the calculator has a good case and good batteries.

No problems, so

[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability that the calculator has a good case and good batteries.

Answer 2

The probability that the calculator has a good case and good batteries is 0.84 or 84%

Calculation of the probability:

Since

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

So, the probability is

=  1- (0.08 + 0.11 - 0.03)

= 1 - 0.16

= 0.84

Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%

learn more about probability here: https://brainly.com/question/16404410


Related Questions

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7x - 3x + 11 = 27

Answers

7x-3x=27-11
4x=16
16/4=x
x=4

Answer:

-10

Step-by-step explanation:

What is the equation?

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Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

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Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this week as compared to last week

Answers

Answer:

102 donuts

Step-by-step explanation:

12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The volume of a cube is 216 ft^3. What is the length of a side?

Answers

Answer:

54

Step-by-step explanation:

cause a cub has 4 sides so each side is 54

Answer:

The length of a side is 6.

Step-by-step explanation:

Since, the volume of a cube is equal to l*w*h.

V=l*w*h

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Answers

Answer:

x = 0; y = 5

Step-by-step explanation:

-5x + 3y = 15

2x - 3y = -15

Add the equations to eliminate y.

3x = 0

x = 0

Now plug in 0 for x in the first equation to solve for y.

-5(0) + 3y = 15

3y = 15

y = 5

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Answers

Answer:

x+2x is an equalent expression

Answer:

An equavalent expression is 3x+0

5. Select all the expressions that represent the area of the shaded rectangle.
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C
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Answers

Answer:

Step-by-step explanation:

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Use the linear combination method to solve the system of equations. Explain each step of your solution.
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Answers

Step-by-step explanation:

Equation 1: 2x - 3y = 13

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Subtract Equation 1 from Equation 2:

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Answer:

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Step-by-step explanation:

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then divide your answer by 2 after that.

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It’s 0,, use PEMDAS you welcome

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it. Mekala plans to listen to 270 songs.
Complete the following statement with the best prediction.
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Answers

Answer:

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Step-by-step explanation:

I’ll give brainliest please help

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What is the solution (
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Answers

Answer:

comparing both the equation,

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Answers

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

Here”s my answer: 80,000

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Answers

y=22x+100
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Answers

Answer:

Ladybug=7

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Step-by-step explanation:

there are a whole row of ladybugs that equal 21. 21/3=7.

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Answers

Answer:

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Step-by-step explanation:

just use a coculator

why don’t you know how to divide lol

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Answers

Answer:

I think it 25/36.

Step-by-step explanation:

The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.

So 4/9 + 1/4 = 16/36 + 9/36 = 25/36

Jenny measured a total of 10/21 cups of flour.

Given that,
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The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.


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Here,
Let, the total measure of the cups of flour be x,

x = 1/7 + 1/3
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x = (3*1 + 1*7)/21
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Thus, Jenny measured a total of 10/21 cups of flour.

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brainly.com/question/13419413

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

25/64

Step-by-step explanation:

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Answers

Answer:

Random variable set is attached as image. Please see the image

Step-by-step explanation:

The random variable W consist of all possible set of selection of two reward slips

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The set is given in the image attached

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: 5.099

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given

[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]

Required

Simplify

[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]

Split fraction

[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]

[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]

[tex]sec\ t = \frac{1}{cos\ t}[/tex]

So, we have:

[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]

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In trigonometry:

[tex]1 - cos^2\ t = sin^2\ t[/tex]

So, we have:

[tex]f(t) = sin^2\ t[/tex]

Cuanto es 28 dividido entre 78976 ​

Answers

Answer:

.00035453808

Step-by-step explanation

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